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STatiana [176]
3 years ago
13

What is the following product? (5√2-4√3)(5√2-4√3)

Mathematics
1 answer:
Galina-37 [17]3 years ago
6 0

Step-by-step explanation:

(5√2-4√3)(5√2-4√3)=

(5√2-4√3)^2=(5√2)^2+(4√3)^2-2(5√2)(4√3)

=25*2+16*3-10√2*4√3

=50+48-10√2*4√3

=98-10√2*4√3 is the answer

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Use the figure to find the measure of angle 2.
ale4655 [162]

Answer:

∠ 2 = 70°

Step-by-step explanation:

110° and ∠ 1 are corresponding angles and congruent, thus

∠ 1 = 110°

∠ 1 and ∠ 2 are adjacent angles and are supplementary, thus

∠ 2 = 180° - ∠ 1 = 180° - 110° = 70°

7 0
3 years ago
Part A: The area of a square is (16x2 − 8x + 1) square units. Determine the length of each side of the square by factoring the a
d1i1m1o1n [39]

Answer:

see below

Step-by-step explanation:

16x^2 − 8x + 1

(4x)^2 -8x +1

Factor

This is a perfect square trinomial

a^2 -2ab +b^2 = (a-b)(a-b)

(4x)^2 -8x +1 = (4x-1) (4x-1)

The area of a square is given by

A = s^2

(4x-1) ^2 = s^2

4x-1 = s

The side length is 4x-1

(81x^2 − 4y^2)

(9x)^2 - (2y)^2

This is the difference of squares

a^2 - b^2 = (a-b) (a+b)

(9x-2) (9x+2)

The area of a rectangle is

A = l*w

(81x^2 − 4y^2)  = (9x-2) (9x+2)

The dimensions are (9x-2) (9x+2)

3 0
3 years ago
Can I get help with this?
blagie [28]

Answer:

y-4=7(x-1)

Step-by-step explanation:

Hi there!

We are given the slope of the line (7) and the point (1,4) and we need to find the equation in point-slope form.

Point-slope form is given as y-y_{1}=m(x-x_{1}) where m is the slope and (x_{1},y_{1}) is a point

We have all of the needed information for the equation, but let's first label the values of everything in order to avoid confusion

m=7

x_{1}=1

y_{1}=4

now substitute into the formula:

<u>y-4=7(x-1)</u>

Hope this helps! :)

6 0
2 years ago
HELPPP PLEASEEE!!!???
muminat

Answer:

A

Step-by-step explanation:

I got it lol

6 0
3 years ago
Leah's family traveled 5/7 of the distance to her grandmother’s house on Saturday. They traveled 1/2 of the remaining distance o
Readme [11.4K]

Answer:

1/7

Step-by-step explanation:

They traveled 5/7 of the distance on Saturday.

That left 2/7 of the distance as the remaining distance.

They traveled half of 2/7 of the distance on Sunday.

1/2 of 2/7 = 1/2 × 2/7 = 2/14 = 1/7

Answer: 1/7

4 0
2 years ago
Read 2 more answers
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